13854360 has 128 divisors (see below), whose sum is σ = 45722880. Its totient is φ = 3337728.

The previous prime is 13854353. The next prime is 13854361. The reversal of 13854360 is 6345831.

13854360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13854361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129427 + ... + 129533.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 2^13854360 is an apocalyptic number.

13854360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13854360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861440).

13854360 is an abundant number, since it is smaller than the sum of its proper divisors (31868520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13854360 is a wasteful number, since it uses less digits than its factorization.

13854360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 13854360 is about 3722.1445431364. The cubic root of 13854360 is about 240.1755659822.

The spelling of 13854360 in words is "thirteen million, eight hundred fifty-four thousand, three hundred sixty".